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Finding the Fourth Proportional to 3,003.50, 4,505.04 and 923.46

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Solution

The fourth proportional to 3,003.50, 4,505.04 and 923.46 is: 1,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.50 : 4,505.04 = 923.46 : x
  2. Step 2: Convert to fraction form
    3,003.50/4,505.04 = 923.46/x
  3. Step 3: Cross multiply
    3,003.50x = 4,505.04 × 923.46
  4. Step 4: Simplify right side
    3,003.50x = 4,160,224.24
  5. Step 5: Solve for x
    x = 4,160,224.24/3,003.50
  6. Step 6: Final answer
    x = 1,385.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.